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335389240384 = 2611265812
BaseRepresentation
bin1001110000101101100…
…00011010110001000000
31012001200212000201002221
410320112300122301000
520443334121143014
6414024203220424
733142154335312
oct4702660326100
91161625021087
10335389240384
1111a268534400
1255001217714
132581c897633
14123392117b2
158ace4c9b24
hex4e16c1ac40

335389240384 has 63 divisors (see below), whose sum is σ = 731652971413. Its totient is φ = 152426489600.

The previous prime is 335389240283. The next prime is 335389240391. The reversal of 335389240384 is 483042983533.

The square root of 335389240384 is 579128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80243025984 + 255146214400 = 283272^2 + 505120^2 .

It is a super-2 number, since 2×3353892403842 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50959974 + ... + 50966554.

Almost surely, 2335389240384 is an apocalyptic number.

335389240384 is the 579128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335389240384

335389240384 is an abundant number, since it is smaller than the sum of its proper divisors (396263731029).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

335389240384 is an frugal number, since it uses more digits than its factorization.

335389240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13196 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 335389240384 in words is "three hundred thirty-five billion, three hundred eighty-nine million, two hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 6581 7744 13162 26324 52648 72391 105296 144782 210592 289564 421184 579128 796301 1158256 1592602 2316512 3185204 4633024 6370408 12740816 25481632 43309561 50963264 86619122 173238244 346476488 476405171 692952976 952810342 1385905952 1905620684 2771811904 3811241368 5240456881 7622482736 10480913762 15244965472 20961827524 30489930944 41923655048 83847310096 167694620192 335389240384